Location

Location ANSS

The ANSS event ID is ak020da7vc4e and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak020da7vc4e/executive.

2020/10/15 16:05:15 61.173 -149.324 34.7 4.1 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2020/10/15 16:05:15:0  61.17 -149.32  34.7 4.1 Alaska
 
 Stations used:
   AK.BRLK AK.CUT AK.EYAK AK.FID AK.GHO AK.GLI AK.HIN AK.HOM 
   AK.KNK AK.M20K AK.P23K AK.PWL AK.RC01 AK.SAW AK.SCM AK.SKN 
   AK.SLK AK.SSN AK.SWD AT.PMR AV.SPU AV.STLK TA.M22K TA.O22K 
 
 Filtering commands used:
   cut o DIST/3.3 -40 o DIST/3.3 +50
   rtr
   taper w 0.1
   hp c 0.03 n 3 
   lp c 0.10 n 3 
 
 Best Fitting Double Couple
  Mo = 1.84e+22 dyne-cm
  Mw = 4.11 
  Z  = 46 km
  Plane   Strike  Dip  Rake
   NP1      160    70   -65
   NP2      286    32   -139
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.84e+22     21     231
    N   0.00e+00     23     331
    P  -1.84e+22     58     104

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     5.95e+21
       Mxy     9.05e+21
       Mxz    -1.87e+21
       Myy     4.77e+21
       Myz    -1.29e+22
       Mzz    -1.07e+22
                                                     
                                                     
                                                     
                                                     
                     ##############                  
                 ---###################              
              ------######################           
             ------#------------###########          
           ----#####----------------#########        
          --########-------------------#######       
         -###########---------------------#####      
        -############----------------------#####     
        #############------------------------###     
       ###############------------------------###    
       ###############-------------------------##    
       ################------------   ---------##    
       #################----------- P ----------#    
        ################-----------   ----------     
        #################-----------------------     
         #####   #########---------------------      
          #### T ##########-------------------       
           ###   ###########-----------------        
             #################-------------          
              #################-----------           
                 ################------              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -1.07e+22  -1.87e+21   1.29e+22 
 -1.87e+21   5.95e+21  -9.05e+21 
  1.29e+22  -9.05e+21   4.77e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20201015160515/index.html
        

Preferred Solution

The preferred solution from an analysis of the surface-wave spectral amplitude radiation pattern, waveform inversion or first motion observations is

      STK = 160
      DIP = 70
     RAKE = -65
       MW = 4.11
       HS = 46.0

The NDK file is 20201015160515.ndk The waveform inversion is preferred.

Magnitudes

Given the availability of digital waveforms for determination of the moment tensor, this section documents the added processing leading to mLg, if appropriate to the region, and ML by application of the respective IASPEI formulae. As a research study, the linear distance term of the IASPEI formula for ML is adjusted to remove a linear distance trend in residuals to give a regionally defined ML. The defined ML uses horizontal component recordings, but the same procedure is applied to the vertical components since there may be some interest in vertical component ground motions. Residual plots versus distance may indicate interesting features of ground motion scaling in some distance ranges. A residual plot of the regionalized magnitude is given as a function of distance and azimuth, since data sets may transcend different wave propagation provinces.

ML Magnitude


Left: ML computed using the IASPEI formula for Horizontal components. Center: ML residuals computed using a modified IASPEI formula that accounts for path specific attenuation; the values used for the trimmed mean are indicated. The ML relation used for each figure is given at the bottom of each plot. Right: Residuals from new relation as a function of distance and azimuth.


Left: ML computed using the IASPEI formula for Vertical components (research). Center: ML residuals computed using a modified IASPEI formula that accounts for path specific attenuation; the values used for the trimmed mean are indicated. The ML relation used for each figure is given at the bottom of each plot. Right: Residuals from new relation as a function of distance and azimuth.

Context

The left panel of the next figure presents the focal mechanism for this earthquake (red) in the context of other nearby events (blue) in the SLU Moment Tensor Catalog. The right panel shows the inferred direction of maximum compressive stress and the type of faulting (green is strike-slip, red is normal, blue is thrust; oblique is shown by a combination of colors). Thus context plot is useful for assessing the appropriateness of the moment tensor of this event.

Waveform Inversion using wvfgrd96

The focal mechanism was determined using broadband seismic waveforms. The location of the event (star) and the stations used for (red) the waveform inversion are shown in the next figure.
Location of broadband stations used for waveform inversion

The program wvfgrd96 was used with good traces observed at short distance to determine the focal mechanism, depth and seismic moment. This technique requires a high quality signal and well determined velocity model for the Green's functions. To the extent that these are the quality data, this type of mechanism should be preferred over the radiation pattern technique which requires the separate step of defining the pressure and tension quadrants and the correct strike.

The observed and predicted traces are filtered using the following gsac commands:

cut o DIST/3.3 -40 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.10 n 3 
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    1.0    80    85    10   3.15 0.1645
WVFGRD96    2.0    40    40   -90   3.40 0.2006
WVFGRD96    3.0   275    50    40   3.40 0.2085
WVFGRD96    4.0   270    50    30   3.41 0.2042
WVFGRD96    5.0    70    50   -30   3.44 0.2195
WVFGRD96    6.0   270    80    45   3.44 0.2358
WVFGRD96    7.0   275    40    35   3.47 0.2528
WVFGRD96    8.0   280    35    40   3.55 0.2694
WVFGRD96    9.0   280    40    40   3.57 0.2856
WVFGRD96   10.0   280    55    45   3.59 0.2961
WVFGRD96   11.0   280    55    45   3.61 0.3047
WVFGRD96   12.0   280    55    45   3.62 0.3095
WVFGRD96   13.0   280    55    45   3.64 0.3105
WVFGRD96   14.0   280    60    45   3.65 0.3105
WVFGRD96   15.0   280    60    45   3.66 0.3092
WVFGRD96   16.0   285    60    50   3.67 0.3062
WVFGRD96   17.0   285    60    50   3.68 0.3024
WVFGRD96   18.0     5    70    45   3.71 0.3002
WVFGRD96   19.0     0    75    50   3.72 0.3015
WVFGRD96   20.0   170    85   -45   3.72 0.3063
WVFGRD96   21.0   165    80   -50   3.74 0.3167
WVFGRD96   22.0   165    75   -55   3.75 0.3305
WVFGRD96   23.0   165    75   -55   3.77 0.3439
WVFGRD96   24.0   165    75   -55   3.79 0.3567
WVFGRD96   25.0   165    75   -55   3.80 0.3679
WVFGRD96   26.0   165    75   -55   3.81 0.3787
WVFGRD96   27.0   165    70   -50   3.83 0.3959
WVFGRD96   28.0   165    70   -50   3.84 0.4141
WVFGRD96   29.0   165    70   -50   3.86 0.4315
WVFGRD96   30.0   165    70   -50   3.87 0.4462
WVFGRD96   31.0   165    70   -50   3.88 0.4623
WVFGRD96   32.0   160    65   -50   3.89 0.4751
WVFGRD96   33.0   160    70   -55   3.91 0.4892
WVFGRD96   34.0   160    70   -55   3.92 0.5035
WVFGRD96   35.0   160    70   -55   3.93 0.5157
WVFGRD96   36.0   160    70   -55   3.94 0.5240
WVFGRD96   37.0   160    70   -55   3.95 0.5317
WVFGRD96   38.0   160    70   -55   3.95 0.5362
WVFGRD96   39.0   160    70   -55   3.96 0.5418
WVFGRD96   40.0   160    75   -65   4.07 0.5378
WVFGRD96   41.0   160    70   -65   4.07 0.5442
WVFGRD96   42.0   160    70   -65   4.08 0.5509
WVFGRD96   43.0   160    70   -65   4.09 0.5554
WVFGRD96   44.0   160    70   -65   4.10 0.5602
WVFGRD96   45.0   160    70   -65   4.11 0.5618
WVFGRD96   46.0   160    70   -65   4.11 0.5629
WVFGRD96   47.0   160    70   -65   4.12 0.5622
WVFGRD96   48.0   160    70   -65   4.12 0.5590
WVFGRD96   49.0   160    70   -65   4.13 0.5563
WVFGRD96   50.0   160    70   -65   4.13 0.5509
WVFGRD96   51.0   160    70   -65   4.13 0.5470
WVFGRD96   52.0   160    70   -60   4.13 0.5405
WVFGRD96   53.0   160    70   -60   4.13 0.5349
WVFGRD96   54.0   160    70   -60   4.14 0.5281
WVFGRD96   55.0   160    75   -60   4.14 0.5228
WVFGRD96   56.0   165    75   -60   4.14 0.5149
WVFGRD96   57.0   165    75   -60   4.14 0.5097
WVFGRD96   58.0   165    75   -60   4.14 0.5024
WVFGRD96   59.0   165    75   -60   4.14 0.4957

The best solution is

WVFGRD96   46.0   160    70   -65   4.11 0.5629

The mechanism corresponding to the best fit is
Figure 1. Waveform inversion focal mechanism

The best fit as a function of depth is given in the following figure:

Figure 2. Depth sensitivity for waveform mechanism

The comparison of the observed and predicted waveforms is given in the next figure. The red traces are the observed and the blue are the predicted. Each observed-predicted component is plotted to the same scale and peak amplitudes are indicated by the numbers to the left of each trace. A pair of numbers is given in black at the right of each predicted traces. The upper number it the time shift required for maximum correlation between the observed and predicted traces. This time shift is required because the synthetics are not computed at exactly the same distance as the observed, the velocity model used in the predictions may not be perfect and the epicentral parameters may be be off. A positive time shift indicates that the prediction is too fast and should be delayed to match the observed trace (shift to the right in this figure). A negative value indicates that the prediction is too slow. The lower number gives the percentage of variance reduction to characterize the individual goodness of fit (100% indicates a perfect fit).

The bandpass filter used in the processing and for the display was

cut o DIST/3.3 -40 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.10 n 3 
Figure 3. Waveform comparison for selected depth. Red: observed; Blue - predicted. The time shift with respect to the model prediction is indicated. The percent of fit is also indicated. The time scale is relative to the first trace sample.

Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to the waveforms. Each solution is plotted as a vector at a given value of strike and dip with the angle of the vector representing the rake angle, measured, with respect to the upward vertical (N) in the figure.

A check on the assumed source location is possible by looking at the time shifts between the observed and predicted traces. The time shifts for waveform matching arise for several reasons:

Assuming only a mislocation, the time shifts are fit to a functional form:

 Time_shift = A + B cos Azimuth + C Sin Azimuth

The time shifts for this inversion lead to the next figure:

The derived shift in origin time and epicentral coordinates are given at the bottom of the figure.

Velocity Model

The WUS.model used for the waveform synthetic seismograms and for the surface wave eigenfunctions and dispersion is as follows (The format is in the model96 format of Computer Programs in Seismology).

MODEL.01
Model after     8 iterations
ISOTROPIC
KGS
FLAT EARTH
1-D
CONSTANT VELOCITY
LINE08
LINE09
LINE10
LINE11
      H(KM)   VP(KM/S)   VS(KM/S) RHO(GM/CC)         QP         QS       ETAP       ETAS      FREFP      FREFS
     1.9000     3.4065     2.0089     2.2150  0.302E-02  0.679E-02   0.00       0.00       1.00       1.00    
     6.1000     5.5445     3.2953     2.6089  0.349E-02  0.784E-02   0.00       0.00       1.00       1.00    
    13.0000     6.2708     3.7396     2.7812  0.212E-02  0.476E-02   0.00       0.00       1.00       1.00    
    19.0000     6.4075     3.7680     2.8223  0.111E-02  0.249E-02   0.00       0.00       1.00       1.00    
     0.0000     7.9000     4.6200     3.2760  0.164E-10  0.370E-10   0.00       0.00       1.00       1.00    
Last Changed Thu Apr 25 10:20:23 PM CDT 2024